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86389446 = 231113107941
BaseRepresentation
bin1010010011000…
…11001011000110
320000120001001010
411021203023012
5134103430241
612323343050
72066204163
oct511431306
9200501033
1086389446
1144845740
1224b21a86
1314b89720
14b68b06a
1578b6d16
hex52632c6

86389446 has 64 divisors (see below), whose sum is σ = 205099776. Its totient is φ = 23913600.

The previous prime is 86389439. The next prime is 86389469. The reversal of 86389446 is 64498368.

It is a junction number, because it is equal to n+sod(n) for n = 86389395 and 86389404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91336 + ... + 92276.

It is an arithmetic number, because the mean of its divisors is an integer number (3204684).

Almost surely, 286389446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86389446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102549888).

86389446 is an abundant number, since it is smaller than the sum of its proper divisors (118710330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86389446 is a wasteful number, since it uses less digits than its factorization.

86389446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077.

The product of its digits is 995328, while the sum is 48.

The square root of 86389446 is about 9294.5922987509. The cubic root of 86389446 is about 442.0657785166.

It can be divided in two parts, 863 and 89446, that added together give a palindrome (90309).

The spelling of 86389446 in words is "eighty-six million, three hundred eighty-nine thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 107 143 214 286 321 429 642 858 941 1177 1391 1882 2354 2782 2823 3531 4173 5646 7062 8346 10351 12233 15301 20702 24466 30602 31053 36699 45903 62106 73398 91806 100687 134563 201374 269126 302061 403689 604122 807378 1107557 1308931 2215114 2617862 3322671 3926793 6645342 7853586 14398241 28796482 43194723 86389446